Question

${11}^{th}$ term of the AP: $-3,$ $-\frac{1}{2},2,...$ is

• A. $28$
• B. $22$
• C. $-38$
• D. $-48$

Answer 1

The correct option is B $22$

Clearly, the given AP has first term $a=-3$ and common difference $d=\frac{-1}{2}-(-3)=2-\frac{(-1)}{2}\Rightarrow \frac{5}{2}$.

Also, $n=11$
$\therefore a_{11}=a+10d$

$=-3+10\times \frac{5}{2}$

$=-3+25$

$=22$
Hence, Option B is correct.